98939736000 has 672 divisors, whose sum is σ = 408422002560. Its totient is φ = 22394880000.

The previous prime is 98939735981. The next prime is 98939736011. The reversal of 98939736000 is 63793989.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54935100 + ... + 54936900.

Almost surely, 2^98939736000 is an apocalyptic number.

98939736000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98939736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204211001280).

98939736000 is an abundant number, since it is smaller than the sum of its proper divisors (309482266560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98939736000 is a wasteful number, since it uses less digits than its factorization.

98939736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 98939736000 in words is "ninety-eight billion, nine hundred thirty-nine million, seven hundred thirty-six thousand".